P4bm No. 100 P4bm C4v2

Generators selected (1); t(1, 0, 0); t(0, 1, 0); t(0, 0, 1); (2); (3); (5)

General position

Multiplicity, Wyckoff letter,
Site symmetry
Coordinates

 
8 d 1
(1) xyz(2) -x-yz(3) -yxz(4) y-xz
(5) x + 1/2-y + 1/2z(6) -x + 1/2y + 1/2z(7) -y + 1/2-x + 1/2z(8) y + 1/2x + 1/2z

I Maximal translationengleiche subgroups

[2] P411 (75P4)1; 2; 3; 4
[2] P21m (35Cmm2)1; 2; 7; 8a - ba + bc 0, 1/2, 0
[2] P2b1 (32Pba2)1; 2; 5; 6

II Maximal klassengleiche subgroups

[2] c' = 2c

P42bc (106)<2; 5; 3 + (0, 0, 1)>ab, 2c
P4nc (104)<2; 3; 5 + (0, 0, 1)>ab, 2c
P42nm (102)<2; (3; 5) + (0, 0, 1)>ab, 2c0, 1/2, 0
P4bm (100)<2; 3; 5>ab, 2c

[3] c' = 3c

P4bm (100)<2; 3; 5>ab, 3c

[p] c' = pc


P4bm (100)<2; 3; 5>abpc
 p prime
no conjugate subgroups

[p2] a' = pa, b' = pb


P4bm (100)<2 + (2u, 2v, 0); 3 + (u + v, -u + v, 0); 5 + (p/2 - 1/2p/2 - 1/2 + 2v, 0)>papbcuv, 0
 prime p > 2; 0 ≤ u < p; 0 ≤ v < p
p2 conjugate subgroups

I Minimal translationengleiche supergroups

[2] P4/nbm (125); [2] P4/mbm (127)

II Minimal non-isomorphic klassengleiche supergroups

[2] C4mm (99, P4mm); [2] I4cm (108)
none








































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